2x-11=7x+9

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Solution for 2x-11=7x+9 equation:


Simplifying
2x + -11 = 7x + 9

Reorder the terms:
-11 + 2x = 7x + 9

Reorder the terms:
-11 + 2x = 9 + 7x

Solving
-11 + 2x = 9 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-11 + 2x + -7x = 9 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-11 + -5x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -5x = 9 + 0
-11 + -5x = 9

Add '11' to each side of the equation.
-11 + 11 + -5x = 9 + 11

Combine like terms: -11 + 11 = 0
0 + -5x = 9 + 11
-5x = 9 + 11

Combine like terms: 9 + 11 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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